CanadaPlus@lemmy.sdf.org to math@lemmy.sdf.org · 11 months agoWhat's an example of an ordered set other than R that obeys the first 3 Suslin conditions?en.wikipedia.orgexternal-linkmessage-square11fedilinkarrow-up18arrow-down11
arrow-up17arrow-down1external-linkWhat's an example of an ordered set other than R that obeys the first 3 Suslin conditions?en.wikipedia.orgCanadaPlus@lemmy.sdf.org to math@lemmy.sdf.org · 11 months agomessage-square11fedilink
minus-squaresqw@lemmy.sdf.orglinkfedilinkarrow-up0·11 months agoany continuous function that maps R onto something else, maybe?
minus-squareCanadaPlus@lemmy.sdf.orgOPlinkfedilinkarrow-up1·11 months agoThe range of such a function isn’t guaranteed to to not be a real line again, though, and mapping it into a single point is an definite counterexample. Or do you mean some kind of ordering of the space of all such functions, maybe?
any continuous function that maps R onto something else, maybe?
The range of such a function isn’t guaranteed to to not be a real line again, though, and mapping it into a single point is an definite counterexample.
Or do you mean some kind of ordering of the space of all such functions, maybe?